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Mirrors > Home > MPE Home > Th. List > df-hlo | Structured version Visualization version GIF version |
Description: Define the class of all complex Hilbert spaces. A Hilbert space is a Banach space which is also an inner product space. (Contributed by Steve Rodriguez, 28-Apr-2007.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-hlo | ⊢ CHilOLD = (CBan ∩ CPreHilOLD) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | chlo 29256 | . 2 class CHilOLD | |
2 | ccbn 29233 | . . 3 class CBan | |
3 | ccphlo 29183 | . . 3 class CPreHilOLD | |
4 | 2, 3 | cin 3887 | . 2 class (CBan ∩ CPreHilOLD) |
5 | 1, 4 | wceq 1539 | 1 wff CHilOLD = (CBan ∩ CPreHilOLD) |
Colors of variables: wff setvar class |
This definition is referenced by: ishlo 29258 |
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